Nonparametric estimation of phase variance in auditory-nerve fiber's responses to tonal stimuli

Statistical estimation of the phase variance from the auditory-nerve fiber's action potential timing data is studied in this paper. A detailed derivation of the sample-based estimation formulas, which deals specifically with the circularity of the phase variable, is given. The development of the estimator is based on nonparametric statistical inference techniques, making no assumptions on the parametric form of the phase distribution (i.e., shape of period histogram). Some desirable properties of the estimator are demonstrated through numerical examples and applications of the estimator in auditory research are discussed.